I could introduce a timeskip, but I wanted to allow you the opportunity to have Rose react. I don't like assuming what your character would do, and I will never not allow you the chance to respond.

If you'd rather assume Rose does absolutely nothing and has no problem whatsoever with a strange older man hiding in a box in her bedroom (sounds pretty damn sketchy to me, I'd freak the fuck out, but I'm not Rose), I can add to the post after a period of IC time (say fifteen minutes or so) during which time the Doctor will stabilize the faulty TARDIS, find a leather jacket and properly introduce himself.